41013431420304 has 480 divisors, whose sum is σ = 135581749641216. Its totient is φ = 10616261483520.

The previous prime is 41013431420303. The next prime is 41013431420321. The reversal of 41013431420304 is 40302413431014.

It is not an unprimeable number, because it can be changed into a prime (41013431420303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78557694 + ... + 79078050.

Almost surely, 2^{41013431420304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41013431420304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67790874820608).

41013431420304 is an abundant number, since it is smaller than the sum of its proper divisors (94568318220912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41013431420304 is a wasteful number, since it uses less digits than its factorization.

41013431420304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520483 (or 520470 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 41013431420304 its reverse (40302413431014), we get a palindrome (81315844851318).

The spelling of 41013431420304 in words is "forty-one trillion, thirteen billion, four hundred thirty-one million, four hundred twenty thousand, three hundred four".